{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:QQGEA5MME6JX3KN2EMFJJP27DK","short_pith_number":"pith:QQGEA5MM","schema_version":"1.0","canonical_sha256":"840c40758c27937da9ba230a94bf5f1a8436413eed2772a31280110c42e70002","source":{"kind":"arxiv","id":"2304.02369","version":1},"attestation_state":"computed","paper":{"title":"Cardinality-Constrained Multi-Objective Optimization: Novel Optimality Conditions and Algorithms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Matteo Lapucci, Pierluigi Mansueto","submitted_at":"2023-04-05T11:20:35Z","abstract_excerpt":"In this paper, we consider multi-objective optimization problems with a sparsity constraint on the vector of variables. For this class of problems, inspired by the homonymous necessary optimality condition for sparse single-objective optimization, we define the concept of L-stationarity and we analyze its relationships with other existing conditions and Pareto optimality concepts. We then propose two novel algorithmic approaches: the first one is an Iterative Hard Thresholding method aiming to find a single L-stationary solution, while the second one is a two-stage algorithm designed to constr"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2304.02369","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2023-04-05T11:20:35Z","cross_cats_sorted":[],"title_canon_sha256":"de2cfe1b8e07be1e3fee780b2ace9b929a102a44b117aabab364fdd666678dab","abstract_canon_sha256":"f8aaf31ed9fb0f609879f5aced390f42e36d9eee51a6f18a0723e0c1a66cd3dc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:52:39.999131Z","signature_b64":"zJ8LVXIlNGxmWnJJ5S9aAH3iDjTn8hYGnjBs7SBv6G6jA4VhsxtLtTusoslcTnceJZGIa94yA7IenzHEGkInCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"840c40758c27937da9ba230a94bf5f1a8436413eed2772a31280110c42e70002","last_reissued_at":"2026-07-05T07:52:39.998618Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:52:39.998618Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cardinality-Constrained Multi-Objective Optimization: Novel Optimality Conditions and Algorithms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Matteo Lapucci, Pierluigi Mansueto","submitted_at":"2023-04-05T11:20:35Z","abstract_excerpt":"In this paper, we consider multi-objective optimization problems with a sparsity constraint on the vector of variables. For this class of problems, inspired by the homonymous necessary optimality condition for sparse single-objective optimization, we define the concept of L-stationarity and we analyze its relationships with other existing conditions and Pareto optimality concepts. We then propose two novel algorithmic approaches: the first one is an Iterative Hard Thresholding method aiming to find a single L-stationary solution, while the second one is a two-stage algorithm designed to constr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.02369","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2304.02369/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2304.02369","created_at":"2026-07-05T07:52:39.998679+00:00"},{"alias_kind":"arxiv_version","alias_value":"2304.02369v1","created_at":"2026-07-05T07:52:39.998679+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.02369","created_at":"2026-07-05T07:52:39.998679+00:00"},{"alias_kind":"pith_short_12","alias_value":"QQGEA5MME6JX","created_at":"2026-07-05T07:52:39.998679+00:00"},{"alias_kind":"pith_short_16","alias_value":"QQGEA5MME6JX3KN2","created_at":"2026-07-05T07:52:39.998679+00:00"},{"alias_kind":"pith_short_8","alias_value":"QQGEA5MM","created_at":"2026-07-05T07:52:39.998679+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QQGEA5MME6JX3KN2EMFJJP27DK","json":"https://pith.science/pith/QQGEA5MME6JX3KN2EMFJJP27DK.json","graph_json":"https://pith.science/api/pith-number/QQGEA5MME6JX3KN2EMFJJP27DK/graph.json","events_json":"https://pith.science/api/pith-number/QQGEA5MME6JX3KN2EMFJJP27DK/events.json","paper":"https://pith.science/paper/QQGEA5MM"},"agent_actions":{"view_html":"https://pith.science/pith/QQGEA5MME6JX3KN2EMFJJP27DK","download_json":"https://pith.science/pith/QQGEA5MME6JX3KN2EMFJJP27DK.json","view_paper":"https://pith.science/paper/QQGEA5MM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2304.02369&json=true","fetch_graph":"https://pith.science/api/pith-number/QQGEA5MME6JX3KN2EMFJJP27DK/graph.json","fetch_events":"https://pith.science/api/pith-number/QQGEA5MME6JX3KN2EMFJJP27DK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QQGEA5MME6JX3KN2EMFJJP27DK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QQGEA5MME6JX3KN2EMFJJP27DK/action/storage_attestation","attest_author":"https://pith.science/pith/QQGEA5MME6JX3KN2EMFJJP27DK/action/author_attestation","sign_citation":"https://pith.science/pith/QQGEA5MME6JX3KN2EMFJJP27DK/action/citation_signature","submit_replication":"https://pith.science/pith/QQGEA5MME6JX3KN2EMFJJP27DK/action/replication_record"}},"created_at":"2026-07-05T07:52:39.998679+00:00","updated_at":"2026-07-05T07:52:39.998679+00:00"}